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Finding the Third Proportional to 23,361 and 50,490

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Solution

The third proportional to 23,361 and 50,490 is: 109,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361 : 50,490 = 50,490 : x
  2. Step 2: Convert to fraction form
    23,361/50,490 = 50,490/x
  3. Step 3: Cross multiply
    23,361x = 50,490 × 50,490
  4. Step 4: Simplify right side
    23,361x = 2,549,240,100
  5. Step 5: Solve for x
    x = 2,549,240,100/23,361
  6. Step 6: Final answer
    x = 109,123.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.